Answer:
a [tex]Pr = 0.25[/tex]
b [tex]Pr = 0.50[/tex]
c [tex]Pr = 0.1875[/tex]
Step-by-step explanation:
Given
[tex]n = 4[/tex] --- number of times
[tex]r = 2[/tex] --- faces of a coin
First, is to determine the sample size.
This is calculated as:
[tex]Size =r^n[/tex]
[tex]Size =2^4[/tex]
[tex]Size =16[/tex]
Solving (a): First and last slip is head
This event is represented as:
[tex]E=\{HHHH, HHTH, HTHH, HTTH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{4}{16}[/tex]
[tex]Pr = 0.25[/tex]
b) At least 2 consecutive flips that is heads.
This event is represented as:
[tex]E=\{HHHH,HHHT,HHTH,HHTT,THHH,THHT,HTHH,TTHH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{8}{16}[/tex]
[tex]Pr = 0.50[/tex]
c) First is tail and at least 2 consecutive flips is head.
This event is represented as:
[tex]E=\{THHH,THHT,TTHH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{3}{16}[/tex]
[tex]Pr = 0.1875[/tex]
A shirt is on sale for 35% off the original price. If the original price is $39.00 what is the sale price?
Answer:
$25.35
Step-by-step explanation:
You just take off the percentage from the original price to get your final answer.
Hope this helps c:
The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.
a) What are the mean and standard deviation of the number of universal donors among the 6 people?
b) What is the probability that there are exactly three universal donors?
Using the binomial distribution, it is found that:
a) The mean is of 0.36 and the standard deviation is of 0.58.
b) There is a 0.0036 = 0.36% probability that there are exactly three universal donors.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The values of the parameters are given as follows:
n = 6, p = 0.06.
Item a:
E(X) = np = 6 x 0.06 = 0.36.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6 \times 0.06 \times 0.94} = 0.58[/tex]The mean is of 0.36 and the standard deviation is of 0.58.
Item b:
The probability is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{6,3}.(0.06)^{3}.(0.94)^{3} = 0.0036[/tex]
There is a 0.0036 = 0.36% probability that there are exactly three universal donors.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
Ethan has a piece of string that is 6 meters long. He cuts the string into 3 pieces of equal length. How many centimeters long is each piece of string?
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Answer:
200 cm
Step-by-step explanation:
1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...
(600 cm)/3 = 200 cm . . . length of each piece
May someone pls explain how to do this?
Question: In the image below, the measure of angle 2 is 75°. Find the measures of angles 1, 3, 4, 5, 6, 7, and 8.
Answer:
1=105
3=105
4=75
5=105
6=75
7=105
8=75
Step-by-step explanation:
angles 1 and 2 are supplementary, this means that the sum of the two angles equals 180(they make a straight line).
This means that the cross of the two lines(p and m) will cause angles 1 and 3 to be the same (2 and 4 will also be the same).
lines m and n are parallel, which means that angles 1,2,3, and 4 will be that same as their corresponding angle in angles 5,6,7, and 8.
I hope that made sense.
Esteban wants to take out a $5,000 loan from the bank and is offered two choices. If he pays the loan back within 3 years, he will make monthly payments of $148.07. If he pays the loan back within 5 years, he will make monthly payments of $92.53. How much more will he pay in interest ifhe chooses the 5-year loan???
Answer:
ESTEBAN IS FOKING BROKE
Step-by-step explanation:
Please help me answer this. I’ll give a reward. To who every answers it correctly.
Answer:
66
Step-by-step explanation:
55+59 =114
180-114=66
I need help...WILL GIVE BRAINLIEST !!!!!
Answer:
Step-by-step explanation:
48 is preimeter
96 is the area
Make me brainliest
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
angle klj and angle poq :)
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<QPM and <QPR
Step-by-step explanation:
adjacent angles have a common vertex and side, and those are the only two that have a common side
hope this helps :)
if it does, can I get brainliest, please??!
someone please help me answer this
Answer:
a = 72 mm is the answer.
Step-by-step explanation:
a = ?
b = 21 mm
c = 75 mm
According to the Pythagoras theorem
a² + b² = c²
a² + 21² = 75²
a² + 441 = 5625
a² = 5625 - 441
a² = 5184
a = 72 mm
∴ a = 72 mm is the length of the missing leg.
Find the upper quartile of the given data: 31 , 47 , 88 , 92 , 92
Answer:
92 is the answer
Step-by-step explanation:
Please answer number number 7 I’ll give brainliest thank you!
Answer:
b) $41.85
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 45 × 7/100
Discount = 45 x 0.07
You save = $3.15
Final Price = Original Price - Discount
Final Price = 45 - 3.15
Final Price = $41.85
hope this helps and is right. p.s. i really need brainliest :)
Answer:
Step-by-step explanation:
that would be A
please help answer
If f(x)=(x-3)^2+1 what is f(6)
Pls help
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
4(3√x-2)+1=9. what is the solution to this equation
Answer:
x=22/9
Step-by-step explanation:
4(3√(x-2))+1=9
4(3√(x-2))=8
3√(x-2)=2
√(x-2)=2/3
x-2=4/9
x=4/9+2
x=4/9+18/9
x=22/9
Therefore, the solution is x=22/9
Consider the function f(x) = 2 + 2x - 15. What are the x-intercepts of the function?
Answer:
x=6.5
Step-by-step explanation:
I got the x- intercept as 6.5 because I found the x value when y equals 0.
0=2+2x-15
Next, I added 2+-15 and got -13.
0=2x-13
Then, I added 13 to both sides so that I could have x by itself.
13=2x
Next, I divided 2 on both sides so I could find the value of x.
6.5= x
In conclusion, the x- intercept of f(x)=2+2x-15 is 6.5.
5m²+15m=0
t²-5t+6=0
5p²+12p+4=0
2a²+10a-48=0
x(2x+5)=0
Answer:
m=1, m= -3
t=3, t=2
p= -0.4, p= -2
a= 3, a= -8
x=0, x= -2.5
Answer:
I hope this helps a little bit.
It Is Not Fake
It Got Answers Promise
If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
ОА.
-7 and 6
OB.
-6 and 7
Oc.
6 and 7
OD
-7 and -6
Answer:
7 and -6
Step-by-step explanation:
Given
Factors: (x - 7) and (x + 6)
Required
Determine the zeros
To do this, we simply equate the factors to 0
[tex]x - 7 = 0[/tex]
[tex]x = 7[/tex]
[tex]x + 6 = 0[/tex]
[tex]x = -6[/tex]
So, the zeros are -7 and 6
I tried finding this one earlier and it didn’t work , so please help again !
Answer:
C. 62
Step-by-step explanation:
All angles in a triangle are equivalent to 180. First find angle C. Which is 64. then subtract that by 180, which is 116. after that we combine like terms then solve for X. Combine like terms: 5x-9=116 X=25 We plug X into angle's A equation. And you get 62. hope this helps :)
Find the bearing of the ship. Round to the nearest tenth of a degree if necessary.
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Answer:
117°
Step-by-step explanation:
We assume you want to report your bearing as an angle measured CW from North. For conventional angles greater than 90°, it will be ...
450° -angle = 450° -333° = 117°
The bearing of the ship is 117°.
A=53sq.in find the value of x. Round to the nearest tenth
Answer:
shawty i think we need more info to solve this-
Step-by-step explanation:
. Dinah bought 3 packages of ground beef. The packages weigh 3 3/4 pounds, 1 1/8 pounds, and 2 1/2 pounds. How many pounds of ground beef did Dinah buy
Answer:
[tex]7\frac{3}{8}[/tex] pounds
Step-by-step explanation:
First, convert the fractions into improper fractions, and make them have the same denominator.
First package: [tex]3\frac{3}{4} =\frac{15}{4}=\frac{30}{8}[/tex]
Second package: [tex]1\frac{1}{8} =\frac{9}{8}[/tex]
Third package: [tex]2\frac{1}{2}=\frac{5}{2}=\frac{20}{8}[/tex]
Notice that all the fractions have the same denominator, making it easy to add up. Now we add up the fractions.
[tex]\frac{30}{8}+\frac{9}{8}+\frac{20}{8}=\frac{59}{8} =7\frac{3}{8}[/tex]
Can anybody help me on this question?
Answer:
60
Step-by-step explanation:
i did the math yeah
Can someone please find the slope, no link answers pls
Answer:
-3/1
Step-by-step explanation:
The rise is 1 and the the run is 3 but the line goes from top left to top right so its negative.
What is the most likely meaning of the word endangered?
influenced
exposed
assisted
threatened
Answer:
exposed is another word for endangered
Find the measure of the line segment indicated, assume that lines which appear tangent are tangent. (2 questions) PLS help with these problems ! Pls don't just do it for points
Answer:
1
Step-by-step explanation:
What is 26% of 50?
plz help
Answer:
13
Step-by-step explanation:
50 multiplied by .26
Find two ratios equivalent to each ratio 3:11
Answer:
Multiplying each side by 5⇒ 15: 55
Multiplying each side by 10⇒30:110
Step-by-step explanation:
Answer: 3:11= 30:110 and 6:22
Step-by-step explanation:
30:110 is multipled by 10 and 6:22 is multiplied by 2!
It can be divided or multiplied by whatever number you want! If you want to divide it by one number, make sure that it will be without the remainder because it’s equivalent! I hope I helped you!
find the length of the missing side.
Answer:
I believe it is 12
Step-by-step explanation:
but I am not 100 percent sure
A dragonfly can travel 72 miles in 2 hours at a constant rate. How fast can it fly?
A. 18 mph
B. 36 mph
C. 48 mph
D. 73 mph